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Finding the Fourth Proportional to 31,024.58, 46,514.16 and 9,952.62

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Solution

The fourth proportional to 31,024.58, 46,514.16 and 9,952.62 is: 14,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,024.58 : 46,514.16 = 9,952.62 : x
  2. Step 2: Convert to fraction form
    31,024.58/46,514.16 = 9,952.62/x
  3. Step 3: Cross multiply
    31,024.58x = 46,514.16 × 9,952.62
  4. Step 4: Simplify right side
    31,024.58x = 462,937,759.10
  5. Step 5: Solve for x
    x = 462,937,759.10/31,024.58
  6. Step 6: Final answer
    x = 14,921.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.